In a harbour, wind is blowing at the speed of `72 km//h` and the flag on the mast of a boat anchored in the harbour flutters along the N-E direction. If the boat starts moving at a speed of `51 km//h` to the north, what is the direction of the flag on the mast of the boat ?

A horse runs along a circle with a speed of 20k m//h . A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8 of the circle in km/h.

A cyclist is riding with a speed of 27 km//h . As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m//s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

A car moving along a straight line at a speed of 72km/h stops in 5s. After the brakes are applied. Find the acceleration

A police car running on a highway with a speed of 30 km//h fires on the vehicle of thiefs running in the same direction at a speed of 192 km//h . If the velocity of the bullet is 150 m//s then with what velocity the bullet will hit the thiefs ?

A bird is tossing (flying to and fro 0 between two cars moving towards each other on a straight road. On car has a speed of 18 km /h while the other has the speed of 27 km /h. The bird starts moving from first caer towards the other and is moving with the speed of 36 km /h and when the two cars were separated by 36 km. What is the total distance comered by the bird ? What is the total displacement of the bird ?

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h^-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period Tof the bus service and with what speed (assumed constant) do the buses ply on the road?

A trolley of mass 200 kg moves with a uniform speed of 36 km//h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 m s^-1 relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley ? How much has the trolley moved from the time the child begins to run ?

A trolley of mass 300 kg carrying a sandbag of 25 kg is moving uniformly with a speed of 27 km//h on a frictionless track. After a while, sand starts leaking out of a hole on the floor of the trolley at the rate of 0.05 kg s^-1 . What is the speed of the trolley after the entire sand bag is empty ?

A motor car moving at a speed of 72 km /h can not come to a stop in less than 3.0 s while for a truch this time interval is 5.0s On a highway the car is behind the truck both moving at 72 km /h The truck geives a signal that it is going to stop at emergency. At what distance the car should be from the truck so that it does bot bump onto (collide with) the truck. Human responde time id 0.5 s. (comment : This is to illustrate why vehicles carr the message on the rear side. "Keep safe Distance").